Reflection and Transmission of Oblique Plane Waves at a Plane Interface between Viscoelastic Media,

Abstract

The solution is obtained for the reflection and transmission of time harmonic plane dilatational or shear waves at a plane interface between two linearly viscoelastic materials. Except in special cases, the reflected and transmitted waves are general plane waves, i.e., plane waves whose amplitudes vary across their wave fronts. The angles of reflection and transmission depend on the incident angle in a more complicated way than in the limiting elastic case because the wave speeds of the reflected and transmitted waves are, in general, functions of the incident angle. Necessary and sufficient conditions for the existence of interface waves are obtained. It is found that no interface waves can exist for some materials. For another class of materials, interface waves exist for discrete angles of incidence. For still other materials, interface waves exist for all incident angles greater than some critical angle. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
ADA060764

Entities

People

  • Henry F. Cooper Jr.

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Attenuation
  • Boundaries
  • Cartesian Coordinates
  • Coefficients
  • Displacement
  • Doppler Effect
  • Elastic Waves
  • Frequency
  • Phase Shift
  • Plane Waves
  • Refraction
  • Secondary Waves
  • Stress Waves
  • Stresses
  • Transverse
  • Waves

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Mechanical Engineering/Mechanics of Materials.